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A principle of similarity for nonlinear vibration absorbers
Habib, Giuseppe; Kerschen, Gaëtan
2015In 11th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
 

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Keywords :
principle of similarity; nonlinear resonances; equalpeak method; vibration absorber
Abstract :
[en] With continual interest in expanding the performance envelope of engineering systems, nonlinear components are increasingly utilized in real-world applications. This causes the failure of wellestablished techniques to mitigate resonant vibrations. In particular, this holds for the linear tuned vibration absorber (LTVA), which requires an accurate tuning of its natural frequency to the resonant vibration frequency of interest. This is why the nonlinear tuned vibration absorber (NLTVA), the nonlinear counterpart of the LTVA, has been recently developed. An unconventional aspect of this absorber is that its restoring force is tailored according to the nonlinear restoring force of the primary system. This allows the NLTVA to extend the so-called Den Hartog’s equal-peak rule to the nonlinear range. In this work, a fully analytical procedure, exploiting harmonic balance and perturbation techniques, is developed to define the optimal value of the nonlinear terms of the NLTVA. The developments are such that they can deal with any polynomial nonlinearity in the host structure. Another interesting feature of the NLTVA, discussed in the paper, is that nonlinear terms of different orders do not interact with each other in first approximation, thus they can be treated separately. Numerical results obtained through the shooting method coupled with pseudoarclength continuation validate the analytical developments.
Disciplines :
Mechanical engineering
Author, co-author :
Habib, Giuseppe ;  Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Kerschen, Gaëtan  ;  Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Language :
English
Title :
A principle of similarity for nonlinear vibration absorbers
Publication date :
05 August 2015
Event name :
ASME 2015 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference
Event organizer :
ASME
Event place :
Boston, United States
Event date :
from 2-08-2015 to 5-08-2015
Audience :
International
Main work title :
11th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
ISBN/EAN :
978-0-7918-5716-8
Funders :
ERC - European Research Council [BE]
Funding text :
ERC Starting Grant NoVib 307265
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since 26 October 2015

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